Predator-prey harvesting model with fatal disease in prey

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A theoretical eco-epidemiological model of a prey-predator interaction system with disease in prey species is studied. Predator consumes both susceptible and infected prey population, but predator also feeds preferentially on many numerous species, which are over represented in the predator's diet. Equilibrium points of the system are determined, and the dynamic behaviour of the system is investigated around equilibrium points. Death rate of predator species is considered as a bifurcation parameter to examine the occurrence of Hopf bifurcation in the neighbourhood of the coexisting equilibria. Numerical simulations are carried out to support the analytical results.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
DOIs
Publication statusAccepted/In press - 2015

Keywords

  • Bifurcation
  • Optimal harvesting
  • Predator
  • Prey
  • Stability

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Fingerprint Dive into the research topics of 'Predator-prey harvesting model with fatal disease in prey'. Together they form a unique fingerprint.

  • Cite this